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Finding the Fourth Proportional to 298,833.46, 412,379.63 and 162,864.71

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Solution

The fourth proportional to 298,833.46, 412,379.63 and 162,864.71 is: 224,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,833.46 : 412,379.63 = 162,864.71 : x
  2. Step 2: Convert to fraction form
    298,833.46/412,379.63 = 162,864.71/x
  3. Step 3: Cross multiply
    298,833.46x = 412,379.63 × 162,864.71
  4. Step 4: Simplify right side
    298,833.46x = 67,162,087,672.74
  5. Step 5: Solve for x
    x = 67,162,087,672.74/298,833.46
  6. Step 6: Final answer
    x = 224,747.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.